World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
8920
World Ranking
2148
National Ranking
910

Ronald E. Mickens publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Ronald E. Mickens sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 335 publications — 89th percentile

89% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Ronald E. Mickens D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Ronald E. Mickens sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 1999 - Fellow of American Physical Society (APS) Citation For his sustained service to the physics community and his original contributions on the applications of mathematics to the study of physical systems

Overview

Ronald E. Mickens is affiliated with Clark Atlanta University in the United States. Their research primarily lies within the fields of mathematics and engineering, focusing on areas such as modeling and simulation, mechanics of materials, statistical and nonlinear physics, mathematical physics, and numerical analysis.

The scientist explores several main topics in their work, including:

  • Fractional Differential Equations Solutions
  • Thermoelastic and Magnetoelastic Phenomena
  • Model Reduction and Neural Networks
  • Numerical methods in inverse problems
  • Numerical methods for differential equations
  • Nonlinear Waves and Solitons
  • Stability and Controllability of Differential Equations

Ronald E. Mickens has contributed to a range of publications, with frequent appearances in venues such as:

  • arXiv (Cornell University)
  • The Journal of Difference Equations and Applications
  • Applied Mathematics Letters
  • Physics Today
  • Applied Numerical Mathematics

Recent notable papers include:

  • Traveling wave solutions of Burgers' equation with time delay (2020, Applied Mathematics Letters)
  • A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction-advection-diffusion PDE (2020, The Journal of Difference Equations and Applications)
  • Approximate rational solutions to the Thomas-Fermi equation based on dynamic consistency (2020, Applied Mathematics Letters)
  • Construction and analysis of a discrete heat equation using dynamic consistency: The meso-scale limit (2023, Applied Numerical Mathematics)
  • A note on a positivity preserving hyperbolic NSFD scheme for heat transfer (2022, The Journal of Difference Equations and Applications)

Frequent collaborators in their research are:

  • Isom H. Herron
  • Talitha Washington
  • Clement McCalla
  • Cui-Cui Ji
  • Weizhong Dai

Ronald E. Mickens has also contributed to book publications, including a work published by World Scientific:

  • Nonstandard Finite Difference Schemes (2020)

The scientist received the distinction of Fellow of the American Physical Society (APS) in 1999 for sustained service to the physics community and original contributions on the applications of mathematics to the study of physical systems.

Best Publications

  • Nonstandard Finite Difference Models of Differential Equations

    Ronald E Mickens

  • Oscillations in planar dynamic systems

    Ronald E Mickens

  • Applications of nonstandard finite difference schemes

    Ronald E Mickens

  • Nonstandard Finite Difference Schemes for Differential Equations

    Ronald E. Mickens

  • Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

    Ronald E. Mickens

  • Comments on the method of harmonic balance

    Ronald Mickens

  • Advances in the Applications of Nonstandard Finite Difference Schemes

    Ronald E. Mickens

  • A generalization of the method of harmonic balance

    R. E. Mickens

  • Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition

    Ronald E. Mickens

  • Difference Equations: Theory and Applications

    Ronald E. Mickens

  • An introduction to nonlinear oscillations

    Ronald E. Mickens

  • Exact Solutions to a Finite-difference Model of a Nonlinear Reaction-advection Equation: Implications for Numerical Analysis

    Ronald E. Mickens

  • Discretizations of nonlinear differential equations using explicit nonstandard methods

    Ronald E. Mickens

  • A nonstandard finite-difference scheme for the Lotka--Volterra system

    Ronald E. Mickens

  • Mathematical and numerical study of the duffing-harmonic oscillator

    R.E. Mickens

  • Numerical integration of population models satisfying conservation laws: NSFD methods.

    Ronald E Mickens

  • Nonstandard finite difference schemes for reaction‐diffusion equations

    Ronald E. Mickens

  • Iteration procedure for determining approximate solutions to non-linear oscillator equations

    R. E. Mickens

  • A positivity‐preserving nonstandard finite difference scheme for the damped wave equation

    Ronald E. Mickens;P. M. Jordan

  • A mathematical model for skin burn injury induced by radiation heating

    Weizhong Dai;Haojie Wang;Pedro M. Jordan;Ronald E. Mickens

  • A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators”

    Ronald E. Mickens

Frequent Co-Authors

Abba B. Gumel
Abba B. Gumel University of Maryland, College Park
Edwin Michael
Edwin Michael University of Notre Dame
Adrian Bejan
Adrian Bejan Duke University
Matthew B. Thomas
Matthew B. Thomas Pennsylvania State University
Richard S. Ostfeld
Richard S. Ostfeld Cary Institute of Ecosystem Studies
Shannon L. LaDeau
Shannon L. LaDeau Duke University
Suzanne Lenhart
Suzanne Lenhart University of Tennessee at Knoxville
Christophe Letellier
Christophe Letellier University of Rouen
George K. Christophides
George K. Christophides Imperial College London
Seyed M. Moghadas
Seyed M. Moghadas York University

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